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The position co-ordinates of a particle ...

The position co-ordinates of a particle moving in a 3-D coordinate system is given
by `x = a" cos"wt`
`y = a" sin"wt `
and `z=awt`
The speed of the particle is :

A

`sqrt3 omega`

B

`2 aw`

C

`sqrt2 a omega`

D

aw

Text Solution

Verified by Experts

The correct Answer is:
C
(c): Position vector in space is `vecr=xhati+yhatj+zhatk`
`vecr=a cos wt hati+ a sin wt hatj +a wt hatk`
`vecv= - a omega sin wt hati + a omega cos wt hatj+a omega hatk`
`|vecv|=omega a sqrt((-sin omegat)^(2)+(cos omegat)^(2)+(1)^(2))=sqrt2 omega a`
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